Once we have a model for each voter, as well as a summary of those models (Step iii), we need a voting ruleMore formally known as Social Choice correspondence. to select the best alternatives. We consider two different conceptions of what it means that an alternative is the `best' one, adapting to this setting the ideas of domination among alternatives of Caragiannis et al. [1]}. We present some properties that a good voting rule should verify in terms of these dominance notions. The results obtained can be considered more or less positive for each dominance notion, depending on how many voting rules satisfy some desirable properties. We consider the different domains that may arise depending on the definition of the models of the individuals. Finally, following [2]}, we consider a very important property in this setting, called stability, which ensures the consistency of decisions across different scenarios.
